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Quasi-copulas as linear combinations of copulasGregor Dolinar,
Bojan Kuzma,
Nik Stopar, 2024, original scientific article
Abstract: We prove that every quasi-copula can be written as a uniformly converging infinite sum of multiples of copulas. Furthermore, we characterize those quasi-copulas which can be written as a finite sum of multiples of copulas, i.e., that are a linear combination of two copulas. This generalizes a recent result of Fernández-Sánchez, Quesada-Molina, and Úbeda-Flores who considered linear combinations of discrete copulas.
Keywords: quasi-copulas, copulas, linear combination, affine combination, Minkowski norm
Published in DiRROS: 16.02.2024; Views: 156; Downloads: 67
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